What is the answer to |3x-1/2 |=1 1/2 ?

The answer to |3x-1/2 |=1 1/2 is x=-1/3 \lor x= 2/3

Solve for x: |3x-1/2 |=1 1/2

The solution is x=-1/3 \lor x= 2/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 x - \frac{1}{2} = 1 \frac{1}{2}

x = - \frac{1}{3} or x = \frac{2}{3}

Decimal Notation

x = - 0.33333 \dots, x = 0.66666 \dots

Solution steps

3 x - \frac{1}{2} = 1 \frac{1}{2}

Convert mixed numbers to improper fractions:

1 \frac{1}{2} = \frac{3}{2}

3 x - \frac{1}{2} = \frac{3}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - \frac{1}{2} = - \frac{3}{2} or 3 x - \frac{1}{2} = \frac{3}{2}

3 x - \frac{1}{2} = - \frac{3}{2} or 3 x - \frac{1}{2} = \frac{3}{2}

x = - \frac{1}{3} or x = \frac{2}{3}

4 x^{2} - 80 x = - 372

4 x^{2} - 25 x + 25

\frac{18 !}{( 18 - 3 ) !}

- 72

ab - 2 b - a + 2

What is the answer to |3x-1/2 |=1 1/2 ?
The answer to |3x-1/2 |=1 1/2 is x=-1/3 \lor x= 2/3
Solve for x: |3x-1/2 |=1 1/2
The solution is x=-1/3 \lor x= 2/3